<?xml version="1.0"?>
<div class="add">

<b>reconsider </b><font color="Maroon" title="c1">A</font> =  <a href="topgen_5.html#K1" title="TOPGEN_5:func.1">y=0-line</a>  as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="topgen_5.html#K3" title="TOPGEN_5:func.3">Niemytzki-plane</a>  <b>by </b><i><a class="ref" href="topgen_5.html#D3" target="_self" title="TOPGEN_5:def.3">Def3</a>, <a class="ref" href="topgen_5.html#T23" target="_self" title="TOPGEN_5:th.23">Th23</a></i>;<br/>
<a NAME="E2:44"/>
<font color="Maroon" title="c1">A</font> is <a href="tops_1.html#V3" title="TOPS_1:attr.3">nowhere_dense</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_1"><b>proof </b></a><div class="add">

<b>thus </b> <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c1">A</font></span>)</span> = 
 <a href="tops_1.html#K1" title="TOPS_1:func.1">Int</a> <font color="Maroon" title="c1">A</font>
<b>by </b><i><a class="ref" href="topgen_5.html#T30" target="_self" title="TOPGEN_5:th.30">Th30</a>, <a class="ref" href="pre_topc.html#T52" title="PRE_TOPC:th.52">PRE_TOPC:52</a></i>
<br/>.= 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
<b>by </b><i><a class="ref" href="topgen_5.html#T39" target="_self" title="TOPGEN_5:th.39">Th39</a></i>
; <i><font color="Red">:: according to </font></i><a class="ref" href="tops_3.html#D3" title="TOPS_3:def.3">TOPS_3:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:44"/>
 <a href="topgen_5.html#K1" title="TOPGEN_5:func.1">y=0-line</a>  is  <a href="tops_1.html#V3" title="TOPS_1:attr.3">nowhere_dense</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="topgen_5.html#K3" title="TOPGEN_5:func.3">Niemytzki-plane</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
